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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 6240.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6240.bf1 | 6240o1 | \([0, 1, 0, -125, -597]\) | \(-53157376/1755\) | \(-7188480\) | \([]\) | \(1152\) | \(0.090411\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6240.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6240.bf do not have complex multiplication.Modular form 6240.2.a.bf
sage: E.q_eigenform(10)